Recognised as Number
-977
- Negative
- Odd
- 3 digits
-977 is an odd 3-digit integer and the negative of 977. It has 2 divisors and a digital root of 5.
Number properties
ParityOddnot divisible by 2
SignNegative
Absolute value977
Digit count3
Digit sum23
Digit product441
Multiplicative persistence3times the digit product can be taken before one digit is left
Digital root5repeated digit sum
PalindromicNoreads differently backwards
Factors & divisors
Prime factorisation−1 × 977
Distinct prime factors1977
Number of divisors2
Sum of divisors σ(n)978
SquarefreeYesno repeated prime factor
All divisors1, 9772 in total
Arithmetic
Representations
Decimal-977
Binary111101000110 bits
Octal1721
Hexadecimal3D1
Base 36R5
In wordsminus nine hundred and seventy-seven
Ordinalminus nine hundred and seventy-seventh
Scientific notation-9.77 × 10^2
Engineering notation-977
In other bases
Ternary1100012base 3; the most digit-efficient integer base after e: 7 digits
Quinary12402base 5; one hand: 5 digits
Septenary2564base 7: 4 digits
Nonary1305base 9; each digit is two ternary digits: 4 digits
Duodecimal695base 12; divides by 2, 3, 4 and 6, which is why eggs and inches come in twelves: 3 digits
Vigesimal28hbase 20; hands and feet, and the Mayan and Yoruba systems: 3 digits
Sexagesimal16:17base 60; Babylonian, and still how an hour and a circle are divided: 2 digits
Balanced ternaryTT00T11digits −1, 0 and +1 written T, 0 and 1; negation is swapping T and 1, so no sign is needed
Negabinary110001110011base −2; place values alternate 1, −2, 4, −8, so every integer has exactly one form without a sign
Bit-level
1111110000101111
Bit length10 bitsto write the magnitude
Set bits6the population count, or Hamming weight
Zero bits4within that length
Bit parityeven6 set bits, so even; not the same as the number itself being odd
Highest set bitbit 9worth 512
Lowest set bitbit 00 trailing zeros
Power of twoNo
Bytes203 d1
Gray code1000111001n XOR (n >> 1); successive values differ in exactly one bit
At each machine width
16-bit1111110000101111two's complement
32-bit11111111111111111111110000101111two's complement
64-bit1111111111111111111111111111111111111111111111111111110000101111two's complement
One's complement0000001111010000at 16 bits, every bit flipped
Bits reversed1111010000111111at 16 bits
Rotated left by 11111100001011111at 16 bits, wrapping
Shifted left by 1-11110100010= -1,954, no wrap
Shifted right by 1-111101001= -488, discarding the low bit
These bits as a double4.82702136 × 10^-321≈IEEE-754 binary64 reinterpretation of the same 64 bits (subnormal)
Powers & multiples
-977 to the power 2954,529
-977 to the power 3-932,574,833
-977 to the power 4911,125,611,841
-977 to the power 5-890,169,722,768,657
First ten multiples-977, -1,954, -2,931, -3,908, -4,885, -5,862, -6,839, -7,816, -8,793, -9,770
Powers of twoBetween 2^9 (512) and 2^10 (1,024)
Divisibility tests
Divisible by 2No, remainder 1
Divisible by 3No, remainder 2
Divisible by 4No, remainder 1
Divisible by 5No, remainder 2
Divisible by 6No, remainder 5
Divisible by 7No, remainder 4
Divisible by 8No, remainder 1
Divisible by 9No, remainder 5
Divisible by 10No, remainder 7
Divisible by 11No, remainder 9
Divisible by 12No, remainder 5
Divisible by 100No, remainder 77
As a percentage & fraction
As a percentage-97,700%
-977% as a decimal-9.77
-977% of 100-977
-977% of 1,000-9,770
As a fraction of 100-977/100
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